He had his ulnar collateral ligament reconstructed during a three-hour procedure performed by Dr. Lewis Yocum in Anaheim, Calif., on Friday.
Reyes had elbow problems last year, but began this season in the Indians' rotation. He left his start on May 22 because the elbow was bothering him. He was 1-1 with a 6.57 ERA in eight starts.
He is one of seven Cleveland players on the disabled list, including pitchers Jake Westbrook, Rafael Betancourt, Aaron Laffey and Scott Lewis, outfielder Grady Sizemore and infielder Asdrubal Cabrera.